3 Questions
What is the cross-sectional area of a solid of revolution?
Both B and C
What is the method used to determine the cross-sectional area of a solid of revolution?
The method of rings
If we rotate about a horizontal axis, what is the cross-sectional area a function of?
x
Study Notes
- A solid of revolution is a curve that has been rotated about a given axis.
- The cross-sectional area of a solid of revolution is a function of the axis of rotation.
- If we rotate about a horizontal axis, the cross-sectional area is a function of (x).
- If we rotate about a vertical axis, the cross-sectional area is a function of (y).
- The method of disks or the method of rings can be used to determine the cross-sectional area of a solid of revolution.
Learn about solids of revolution and how to determine the cross-sectional area using the method of disks or method of rings when rotating about horizontal or vertical axes.
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